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Finding the Fourth Proportional to 120,970.56, 180,640.56 and 98,827.68

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Solution

The fourth proportional to 120,970.56, 180,640.56 and 98,827.68 is: 147,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.56 : 180,640.56 = 98,827.68 : x
  2. Step 2: Convert to fraction form
    120,970.56/180,640.56 = 98,827.68/x
  3. Step 3: Cross multiply
    120,970.56x = 180,640.56 × 98,827.68
  4. Step 4: Simplify right side
    120,970.56x = 17,852,287,458.70
  5. Step 5: Solve for x
    x = 17,852,287,458.70/120,970.56
  6. Step 6: Final answer
    x = 147,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.